Verification of the westervelt equation for focused transducers

Yun Jing, Du Shen, Greg T. Clement

Research output: Contribution to journalArticlepeer-review

28 Scopus citations


This study investigates the validity of the Westervelt equation for focused transducers. The angular spectrum method is employed to analyze the second-harmonic acoustic field under the weakly nonlinear approximation. Although it is well known that the Westervelt equation is accurate for the case of quasi-plane waves, the present work demonstrates accurate solution for the highly focused case of a spherically-curved ultrasound transducer having an aperture angle of 80°. It is further found that the solution error is inversely dependent on the nonlinearity coefficient.

Original languageEnglish (US)
Article number5776764
Pages (from-to)1097-1101
Number of pages5
JournalIEEE transactions on ultrasonics, ferroelectrics, and frequency control
Issue number5
StatePublished - May 2011

All Science Journal Classification (ASJC) codes

  • Instrumentation
  • Acoustics and Ultrasonics
  • Electrical and Electronic Engineering


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